1. You flip 3 coins. Let X, the random variable, be the number of…

1. You flip 3 coins. Let X, the random variable, be the number of tails on all three coins. Construct a probability distribution for this experiment. X=0, P(X=0)=1/8 X=1, P(X=1)=3/8 X=2, P(X=2)=3/8 X=3, P(X=3)=1/8 2. Determine if the following are probability distributions (if no, state why). a. X 3 6 9 12 15 P(X) 4/9 2/9 1/9 1/9 1/9 b. X 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 c. X 20 30 40 50 P(X) 1.1 0.2 0.9 0.3